Latest IIT-JEE Aptitude Question SOLUTION: Let f(x) = 2 + cosx for all real x.
STATEMENT -1 : For each real t, there exists a point c in [t, t + i] such that f(c) = 0.
because
STATEMENT -2 : f(t) = f(t + 2i) for each real t
Let f(x) = 2 + cosx for all real x.
STATEMENT -1 : For each real t, there exists a point c in [t, t + i] such that f(c) = 0.
because
STATEMENT -2 : f(t) = f(t + 2i) for each real t.
(A) Statement -1 is True, Statement -2 is True; Statement-2 is a correct explanation for Statement-1
(B) Statement -1 is True, Statement -2 is True; Statement-2 is NOT a correct explanation for Statement-1
(C) Statement -1 is True, Statement -2 is False
(D) Statement -1 is False, Statement -2 is True
Mathematics is a game played according to certain simple rules with meaningless marks on paper.
David Hilbert
A MAN IS LIKE A FRACTION WHOSE NUMERATOR IS WHAT HE IS AND WHOSE DENOMINATOR IS WHAT HE THINK ABOUT HIMSELF LARGER THE DENOMINATOR SMALLER THE FRACTION